This table is an extract from the PRP Top 10000. It gives the submitted PRPs during the last 2 months.
|
Rank
|
Probable prime
|
Digits (> 50000)
|
Who? |
When?
|
| 17 | (14^2307467+1)/15 | 2644652 | Paul Bourdelais | 06/2025 |
| 19 | F(11964299) | 2500391 | Ryan Propper + Sergey Batalov | 06/2025 |
| 141 | 193552^147491+147491^193552 | 1000425 | Gabor Levai | 06/2025 |
| 285 | 2^1904743+42713 | 573385 | Enzo Doria | 06/2025 |
| 286 | 2^1900607-47727 | 572140 | Stefano Morozzi | 07/2025 |
| 287 | 2^1900604-7659 | 572139 | Stefano Morozzi | 07/2025 |
| 288 | 2^1900012-162405 | 571961 | Stefano Morozzi | 07/2025 |
| 289 | 2^1900005-101625 | 571959 | Stefano Morozzi | 07/2025 |
| 290 | 2^1900005-101713 | 571959 | Stefano Morozzi | 07/2025 |
| 291 | 2^1900002-24945 | 571958 | Stefano Morozzi | 07/2025 |
| 358 | 2^1761634+48019 | 530305 | Enzo Doria | 06/2025 |
| 400 | 2^1701757+47207 | 512280 | Enzo Doria | 06/2025 |
| 450 | 8603^127088-127088^8603 | 500047 | Norbert Schneider | 06/2025 |
| 517 | 10^482076+9 | 482077 | Boyan Hu | 06/2025 |
| 547 | 2^1572728+45421 | 473439 | Enzo Doria | 07/2025 |
| 554 | 2^1564510+45709 | 470965 | Enzo Doria | 06/2025 |
| 630 | 2^1466458+235399 | 441448 | Enzo Doria | 06/2025 |
| 692 | 2^1407208+45751 | 423612 | Enzo Doria | 06/2025 |
| 716 | 2^1389064+45751 | 418150 | Enzo Doria | 06/2025 |
| 723 | 2^1379792+45421 | 415359 | Enzo Doria | 06/2025 |
| 725 | 2^1377927+45083 | 414798 | Enzo Doria | 06/2025 |
| 734 | 2^1372033+238427 | 413024 | Enzo Doria | 07/2025 |
| 777 | 2^1330791+46763 | 400609 | Enzo Doria | 06/2025 |
| 781 | 10^400310+9 | 400311 | Boyan Hu | 06/2025 |
| 784 | 2^1327766+48019 | 399698 | Enzo Doria | 06/2025 |
| 810 | 2^1305333+47717 | 392945 | Enzo Doria | 06/2025 |
| 829 | 2^1294976+236731 | 389827 | Enzo Doria | 06/2025 |
| 835 | 2^1285458+46159 | 386962 | Enzo Doria | 06/2025 |
| 877 | 2^1245610+237919 | 374966 | Enzo Doria | 06/2025 |
| 892 | 2^1231529+237557 | 370728 | Enzo Doria | 06/2025 |
| 931 | 2^1204540+237541 | 362603 | Enzo Doria | 07/2025 |
| 989 | 2^1192251+47183 | 358904 | Enzo Doria | 06/2025 |
| 995 | 2^1187473+237257 | 357465 | Enzo Doria | 06/2025 |
| 996 | 2^1187356+44641 | 357430 | Enzo Doria | 06/2025 |
| 1023 | 2^1168822+236449 | 351851 | Enzo Doria | 06/2025 |
| 1071 | 2^1123083+237413 | 338082 | Enzo Doria | 06/2025 |
| 1096 | 6^425185-425185^6 | 330859 | Henri Lifchitz | 06/2025 |
| 1109 | 2^1088416+237661 | 327646 | Enzo Doria | 06/2025 |
| 1114 | 2^1085876+48151 | 326882 | Enzo Doria | 06/2025 |
| 1305 | 2^997369+237917 | 300238 | Enzo Doria | 06/2025 |
| 1333 | 2^991387+237383 | 298438 | Enzo Doria | 06/2025 |
| 1340 | 2^988148+48271 | 297463 | Enzo Doria | 07/2025 |
| 1465 | (79^146749-1)/6395645198026062186 | 278457 | Paul Vanderveen | 06/2025 |
| 1801 | (21^242194)%(10^242194) | 242194 | Henri Lifchitz | 06/2025 |
| 1820 | (97^120721-1)/811245216 | 239837 | Paul Vanderveen | 06/2025 |
| 1864 | (47^140983-1)/2792206142311142462 | 235719 | Paul Vanderveen | 06/2025 |
| 1870 | (2^781970)/(781970^2) | 235385 | Henri Lifchitz | 06/2025 |
| 1920 | (71^125029-1)/105024430 | 231453 | Paul Vanderveen | 06/2025 |
| 1971 | (10^226381+1)/14973418875371 | 226368 | Alfred Reich | 06/2025 |
| 1981 | (3^472721+1)/9422189991086734893916 | 225524 | Paul Vanderveen | 06/2025 |
| 2087 | (29^147319-1)/466757843690852 | 215425 | Paul Vanderveen | 06/2025 |
| 2175 | Phi(64773,-64773) | 207680 | Henri Lifchitz | 06/2025 |
| 2231 | 2^675357-45801 | 203303 | Stefano Morozzi | 07/2025 |
| 2232 | 2^675354-109623 | 203302 | Stefano Morozzi | 07/2025 |
| 2233 | 2^675350-124911 | 203301 | Stefano Morozzi | 07/2025 |
| 2234 | 2^675345-83365 | 203300 | Stefano Morozzi | 07/2025 |
| 2235 | 2^675347-160357 | 203300 | Stefano Morozzi | 07/2025 |
| 2236 | 2^675339-178989 | 203298 | Stefano Morozzi | 07/2025 |
| 2237 | 2^675337-135031 | 203297 | Stefano Morozzi | 07/2025 |
| 2238 | 2^675337-21693 | 203297 | Stefano Morozzi | 07/2025 |
| 2239 | 2^675334-194937 | 203296 | Stefano Morozzi | 07/2025 |
| 2240 | 2^675334-34313 | 203296 | Stefano Morozzi | 07/2025 |
| 2241 | 2^675330-167061 | 203295 | Stefano Morozzi | 07/2025 |
| 2242 | 2^675331-148659 | 203295 | Stefano Morozzi | 07/2025 |
| 2243 | 2^675326-178983 | 203294 | Stefano Morozzi | 07/2025 |
| 2244 | 2^675327-107469 | 203294 | Stefano Morozzi | 07/2025 |
| 2245 | 2^675327-55159 | 203294 | Stefano Morozzi | 07/2025 |
| 2246 | 2^675328-92097 | 203294 | Stefano Morozzi | 07/2025 |
| 2247 | 2^675323-197989 | 203293 | Stefano Morozzi | 07/2025 |
| 2248 | 2^675315-104421 | 203291 | Stefano Morozzi | 07/2025 |
| 2249 | 2^675316-155007 | 203291 | Stefano Morozzi | 07/2025 |
| 2250 | 2^675317-30613 | 203291 | Stefano Morozzi | 07/2025 |
| 2251 | 2^675318-116925 | 203291 | Stefano Morozzi | 07/2025 |
| 2254 | 2^675314-187365 | 203290 | Stefano Morozzi | 07/2025 |
| 2252 | 2^675312-135209 | 203290 | Stefano Morozzi | 06/2025 |
| 2253 | 2^675313-131635 | 203290 | Stefano Morozzi | 06/2025 |
| 2255 | 2^675305-75049 | 203288 | Stefano Morozzi | 06/2025 |
| 2256 | 2^675308-198257 | 203288 | Stefano Morozzi | 06/2025 |
| 2257 | 2^675308-80475 | 203288 | Stefano Morozzi | 06/2025 |
| 2258 | 2^675302-68271 | 203287 | Stefano Morozzi | 06/2025 |
| 2259 | 2^675304-74217 | 203287 | Stefano Morozzi | 06/2025 |
| 2260 | 2^675299-103321 | 203286 | Stefano Morozzi | 06/2025 |
| 2261 | 2^675292-125489 | 203284 | Stefano Morozzi | 06/2025 |
| 2262 | 2^675289-140833 | 203283 | Stefano Morozzi | 06/2025 |
| 2263 | 2^675291-141087 | 203283 | Stefano Morozzi | 06/2025 |
| 2264 | 2^675285-177525 | 203282 | Stefano Morozzi | 06/2025 |
| 2265 | 2^675288-133227 | 203282 | Stefano Morozzi | 06/2025 |
| 2266 | 2^675282-24717 | 203281 | Stefano Morozzi | 06/2025 |
| 2267 | 2^675279-113179 | 203280 | Stefano Morozzi | 06/2025 |
| 2268 | 2^675266-25557 | 203276 | Stefano Morozzi | 06/2025 |
| 2269 | 2^675267-112125 | 203276 | Stefano Morozzi | 06/2025 |
| 2270 | 2^675263-164881 | 203275 | Stefano Morozzi | 06/2025 |
| 2271 | 2^675261-4885 | 203274 | Stefano Morozzi | 06/2025 |
| 2272 | 2^675261-9489 | 203274 | Stefano Morozzi | 06/2025 |
| 2273 | 2^675255-100321 | 203273 | Stefano Morozzi | 06/2025 |
| 2274 | 2^675256-41439 | 203273 | Stefano Morozzi | 06/2025 |
| 2275 | 2^675257-34623 | 203273 | Stefano Morozzi | 06/2025 |
| 2276 | 2^675254-132177 | 203272 | Stefano Morozzi | 06/2025 |
| 2277 | 2^675254-58053 | 203272 | Stefano Morozzi | 06/2025 |
| 2278 | 2^675242-117707 | 203269 | Stefano Morozzi | 06/2025 |
| 2279 | 2^675243-156531 | 203269 | Stefano Morozzi | 06/2025 |
| 2280 | 2^675243-56595 | 203269 | Stefano Morozzi | 06/2025 |
| 2281 | 2^675239-90471 | 203268 | Stefano Morozzi | 06/2025 |
| 2282 | 2^675240-34863 | 203268 | Stefano Morozzi | 06/2025 |
| 2283 | 2^675234-71207 | 203266 | Stefano Morozzi | 06/2025 |
| 2284 | 2^675235-195175 | 203266 | Stefano Morozzi | 06/2025 |
| 2285 | 2^675235-199855 | 203266 | Stefano Morozzi | 06/2025 |
| 2286 | 2^675229-71601 | 203265 | Stefano Morozzi | 06/2025 |
| 2287 | 2^675219-66709 | 203262 | Stefano Morozzi | 06/2025 |
| 2288 | 2^675220-98999 | 203262 | Stefano Morozzi | 06/2025 |
| 2289 | 2^675221-149589 | 203262 | Stefano Morozzi | 06/2025 |
| 2319 | 2^675166+23097 | 203246 | Stefano Morozzi | 07/2025 |
| 2320 | 2^675167+7725 | 203246 | Stefano Morozzi | 07/2025 |
| 2321 | 2^675167+35999 | 203246 | Stefano Morozzi | 07/2025 |
| 2327 | 2^675160+107463 | 203244 | Stefano Morozzi | 07/2025 |
| 2328 | 2^675160+174355 | 203244 | Stefano Morozzi | 07/2025 |
| 2332 | 2^675153+21477 | 203242 | Stefano Morozzi | 07/2025 |
| 2333 | 2^675153+88607 | 203242 | Stefano Morozzi | 07/2025 |
| 2334 | 2^675154+7609 | 203242 | Stefano Morozzi | 07/2025 |
| 2335 | 2^675155+128255 | 203242 | Stefano Morozzi | 07/2025 |
| 2338 | 2^675146+28957 | 203240 | Stefano Morozzi | 06/2025 |
| 2339 | 2^675143+55865 | 203239 | Stefano Morozzi | 06/2025 |
| 2340 | 2^675143+100619 | 203239 | Stefano Morozzi | 06/2025 |
| 2341 | 2^675143+191895 | 203239 | Stefano Morozzi | 06/2025 |
| 2342 | 2^675144+34207 | 203239 | Stefano Morozzi | 06/2025 |
| 2343 | 2^675142+160903 | 203238 | Stefano Morozzi | 06/2025 |
| 2345 | 2^675138+114979 | 203237 | Stefano Morozzi | 06/2025 |
| 2348 | 2^675129+146825 | 203235 | Stefano Morozzi | 06/2025 |
| 2349 | 2^675131+198275 | 203235 | Stefano Morozzi | 06/2025 |
| 2350 | 2^675132+156585 | 203235 | Stefano Morozzi | 06/2025 |
| 2352 | 2^675124+3907 | 203233 | Stefano Morozzi | 06/2025 |
| 2353 | 2^675124+58711 | 203233 | Stefano Morozzi | 06/2025 |
| 2354 | 2^675124+115557 | 203233 | Stefano Morozzi | 06/2025 |
| 2357 | 2^675122+185715 | 203232 | Stefano Morozzi | 06/2025 |
| 2359 | 2^675116+90607 | 203231 | Stefano Morozzi | 06/2025 |
| 2360 | 2^675113+69461 | 203230 | Stefano Morozzi | 06/2025 |
| 2361 | 2^675110+147825 | 203229 | Stefano Morozzi | 06/2025 |
| 2362 | 2^675110+179107 | 203229 | Stefano Morozzi | 06/2025 |
| 2369 | 2^675103+124629 | 203227 | Stefano Morozzi | 06/2025 |
| 2654 | (83^101533-1)/91545628589416644493342 | 194827 | Paul Vanderveen | 06/2025 |
| 2931 | (37^117841-1)/581320056003516 | 184784 | Paul Vanderveen | 06/2025 |
| 3510 | (3^549633)%(2^549633) | 165456 | Henri Lifchitz | 06/2025 |
| 3696 | (49^94321+2^94321)/51 | 159420 | Robert Price | 06/2025 |
| 4180 | (3^707753)%F(707753) | 147912 | Henri Lifchitz | 06/2025 |
| 4231 | (3^834646)/(2^834646) | 146974 | Henri Lifchitz | 06/2025 |
| 4266 | (12^135607-1)/18437127731 | 146335 | Paul Vanderveen | 06/2025 |
| 4319 | 235*29^99378+4 | 145333 | Eric Chen | 06/2025 |
| 4507 | (12^131449-1)/4199006867 | 141848 | Paul Vanderveen | 06/2025 |
| 4601 | (3^672799)%L(672799) | 140607 | Henri Lifchitz | 06/2025 |
| 4714 | (397227*29^94935-19)/28 | 138837 | Eric Chen | 06/2025 |
| 4816 | (37^87559-1)/3966428818030710150468 | 137289 | Paul Vanderveen | 06/2025 |
| 4860 | F(2*453976)%(2^453976) | 136661 | Henri Lifchitz | 06/2025 |
| 4872 | (5^653025)%L(653025) | 136475 | Henri Lifchitz | 06/2025 |
| 4901 | (3^451810)%(2^451810) | 136008 | Henri Lifchitz | 06/2025 |
| 5050 | (29^91493-3^91493)/26 | 133798 | Robert Price | 06/2025 |
| 5162 | (588859*29^90289-19)/28 | 132043 | Eric Chen | 06/2025 |
| 5302 | 9583*29^88890+736 | 129997 | Eric Chen | 06/2025 |
| 5675 | (101^62383-1)/17542099700 | 125026 | Paul Vanderveen | 06/2025 |
| 5693 | (235*29^85334+129)/28 | 124794 | Eric Chen | 06/2025 |
| 5746 | (12^115001-1)/2530033 | 124101 | Paul Vanderveen | 06/2025 |
| 5818 | L(2*409661)%(2^409661) | 123320 | Henri Lifchitz | 06/2025 |
| 6096 | 16651^28442-28442^16651 | 120067 | Norbert Schneider | 07/2025 |
| 6097 | 12284^29359-29359^12284 | 120059 | Norbert Schneider | 06/2025 |
| 6102 | 12134^29385-29385^12134 | 120009 | Norbert Schneider | 06/2025 |
| 6158 | 21*29^81575+129664 | 119297 | Eric Chen | 06/2025 |
| 6524 | (109^56597-1)/90183471012 | 115302 | Paul Vanderveen | 06/2025 |
| 6728 | 14*29^77375+17875 | 113155 | Eric Chen | 06/2025 |
| 6906 | Phi(43329,-43329) | 111283 | Henri Lifchitz | 06/2025 |
| 7033 | (4^231439)%(3^231439) | 110425 | Henri Lifchitz | 06/2025 |
| 7035 | (11^2667520)/(10^2667520) | 110416 | Henri Lifchitz | 06/2025 |
| 7047 | (5^528189)%F(528189) | 110385 | Henri Lifchitz | 06/2025 |
| 7051 | (5^183291)%(4^183291) | 110353 | Henri Lifchitz | 06/2025 |
| 7191 | 578*29^74623+7 | 109132 | Eric Chen | 06/2025 |
| 7206 | (11*29^74504-245655)/28 | 108955 | Eric Chen | 06/2025 |
| 7258 | 29^74228+556 | 108551 | Eric Chen | 06/2025 |
| 7444 | (15^91163-1)/13873078234414574 | 107200 | Paul Vanderveen | 06/2025 |
| 7480 | (151^49069-1)/90910031243271150 | 106904 | Paul Vanderveen | 06/2025 |
| 7528 | (20^81901-1)/42030774209 | 106546 | Paul Vanderveen | 06/2025 |
| 7719 | (5^504004)%F(504004) | 105330 | Henri Lifchitz | 06/2025 |
| 8683 | (131^49201-1)/7538466025870 | 104159 | Paul Vanderveen | 06/2025 |
| 8790 | (103^51413-1)/4478483706 | 103477 | Paul Vanderveen | 06/2025 |
| 8979 | Phi(562221,2)/53723397926257372614541581386770268796893300042857 | 102361 | Anonymous | 06/2025 |
| 9019 | L(2*339475)%(2^339475) | 102193 | Henri Lifchitz | 06/2025 |
| 10865 | Phi(333961,2)/34697333636715268340554109863439 | 100151 | Anonymous | 06/2025 |
| 11192 | 10^100000+88645317 | 100001 | Robert Price | 06/2025 |
| 11193 | 10^100000+88681653 | 100001 | Robert Price | 06/2025 |
| 11194 | 10^100000+88763733 | 100001 | Robert Price | 06/2025 |
| 11195 | 10^100000+89244129 | 100001 | Robert Price | 06/2025 |
| 11196 | 10^100000+89644363 | 100001 | Robert Price | 06/2025 |
| 11432 | 615616*29^67747+17 | 99079 | Eric Chen | 06/2025 |
| 11516 | L(2*327814)%(2^327814) | 98681 | Henri Lifchitz | 06/2025 |
| 11755 | (29^66509-3^66509)/26 | 97262 | Robert Price | 06/2025 |
| 11960 | (83*29^65735-5585)/14 | 96132 | Eric Chen | 06/2025 |
| 11984 | 9*29^65674+24574 | 96043 | Eric Chen | 06/2025 |
| 12004 | (2391*29^65609-151)/28 | 95949 | Eric Chen | 06/2025 |
| 12318 | 2^313647+237863 | 94418 | Enzo Doria | 06/2025 |
| 12531 | (5*29^63798-118809)/28 | 93298 | Eric Chen | 06/2025 |
| 12552 | (11^2250229)/(10^2250229) | 93144 | Henri Lifchitz | 06/2025 |
| 12568 | (13*29^63636-70769)/28 | 93061 | Eric Chen | 06/2025 |
| 12756 | 13622*29^62877+19 | 91956 | Eric Chen | 06/2025 |
| 12819 | Phi(63558,-63558) | 91645 | Henri Lifchitz | 06/2025 |
| 13104 | Phi(318024,10) | 90720 | Logan Mesh | 06/2025 |
| 13907 | (151^40343-1)/12103050 | 87900 | Paul Vanderveen | 06/2025 |
| 14113 | 508*29^59378+25 | 86837 | Eric Chen | 06/2025 |
| 14184 | (7^102329-1)/78339852335032429446323413602 | 86450 | Paul Vanderveen | 06/2025 |
| 14193 | (3^413537)%F(413537) | 86424 | Henri Lifchitz | 06/2025 |
| 14377 | (3^179111+1)/421269076 | 85450 | Paul Vanderveen | 06/2025 |
| 14479 | (113^41399-1)/9273488 | 84989 | Paul Vanderveen | 06/2025 |
| 14519 | (89*29^57974+35)/4 | 84783 | Eric Chen | 06/2025 |
| 14598 | (11^2038856)/(10^2038856) | 84394 | Henri Lifchitz | 06/2025 |
| 15010 | 10^82624+10*21225!+1 | 82625 | Anonymous | 07/2025 |
| 15099 | L(2*273007)%(2^273007) | 82183 | Henri Lifchitz | 06/2025 |
| 15147 | 3*29^56038+10958 | 81951 | Eric Chen | 06/2025 |
| 15188 | (87067*29^55851-67)/4 | 81681 | Eric Chen | 06/2025 |
| 15530 | (6^103049-1)/3199615338017655346461381942081584144983962736425231845 | 80134 | Paul Vanderveen | 06/2025 |
| 15586 | (596979*29^54647-19)/28 | 79920 | Eric Chen | 06/2025 |
| 16065 | 14502*29^53360+5 | 78038 | Eric Chen | 06/2025 |
| 16159 | (85523*29^53067-3)/4 | 77610 | Eric Chen | 06/2025 |
| 16189 | (433*29^52967+71)/28 | 77461 | Eric Chen | 06/2025 |
| 16662 | (72601*29^51527-1)/4 | 75358 | Eric Chen | 06/2025 |
| 16979 | 254*29^50686+17 | 74126 | Eric Chen | 06/2025 |
| 17144 | (163^33191-1)/53540641871946 | 73411 | Paul Vanderveen | 06/2025 |
| 17434 | 2^239575+237023 | 72120 | Enzo Doria | 06/2025 |
| 17626 | (103^35437-1)/869753254278 | 71317 | Paul Vanderveen | 06/2025 |
| 17862 | Phi(45348,-45348) | 70370 | Henri Lifchitz | 06/2025 |
| 18250 | (161^31183+1)/162 | 68814 | Richard Fischer | 07/2025 |
| 18301 | (13^61627-1)/13865013043548 | 68636 | Paul Vanderveen | 06/2025 |
| 18536 | L(2*225175)%(2^225175) | 67785 | Henri Lifchitz | 06/2025 |
| 18675 | (194^29401+1)/195 | 67262 | Richard Fischer | 06/2025 |
| 19092 | (163^29759+1)/164 | 65831 | Richard Fischer | 06/2025 |
| 20054 | (7^74156+1)/20257165234965945074 | 62650 | Anonymous | 06/2025 |
| 20175 | ((3*88703-76622)*F(297697)-(88703-76622)*L(297697))/2 | 62220 | Yaroslav Berezhko | 06/2025 |
| 20388 | (137^28817-1)/68587033411134445697535410119712168 | 61540 | Paul Vanderveen | 06/2025 |
| 22617 | (139^27653-1)/18782913246 | 59251 | Paul Vanderveen | 06/2025 |
| 24114 | L(2*182771)%(2^182771) | 55020 | Henri Lifchitz | 06/2025 |
| 24450 | (3^113173+1)/3073175674836418588 | 53979 | Paul Vanderveen | 06/2025 |
| 24752 | (3^176059)%(2^176059) | 52999 | Henri Lifchitz | 06/2025 |
| 45383 | (1232^16561+1)/1233 | 51181 | Pedja Terzic | 06/2025 |
| 51232 | (1250^16369+1)/1251 | 50691 | Pedja Terzic | 06/2025 |